3725849863680 has 960 divisors, whose sum is σ = 15144842668032. Its totient is φ = 775630356480.

The previous prime is 3725849863661. The next prime is 3725849863699. The reversal of 3725849863680 is 863689485273.

3725849863680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3725849863661) and next prime (3725849863699).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198311247 + ... + 198330033.

Almost surely, 2^{3725849863680} is an apocalyptic number.

3725849863680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725849863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572421334016).

3725849863680 is an abundant number, since it is smaller than the sum of its proper divisors (11418992804352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3725849863680 is a wasteful number, since it uses less digits than its factorization.

3725849863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18875 (or 18852 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 69.

The spelling of 3725849863680 in words is "three trillion, seven hundred twenty-five billion, eight hundred forty-nine million, eight hundred sixty-three thousand, six hundred eighty".